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Knot colouring polynomials

Knot colouring polynomials

MICHAEL EISERMANNWe introduce a natural extension of the colouring numbers of knots, called colouring polynomials, and study their relationship to Yang-Baxter invariants and quandle 2-cocycle invariants.For a knot K in the 3-sphere, let π K be the fundamental group of the knot complement ‫ޓ‬ 3 K , and let m …